Global existence of solutions for incompressible magnetohydrodynamic equations

• Autorzy: Wisam Alame , W. M. Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

Global-in-time existence of solutions for incompressible magnetohydrodynamic fluid equations in a bounded domain Ω ⊂ ℝ³ with the boundary slip conditions is proved. The proof is based on the potential method. The existence is proved in a class of functions such that the velocity and the magnetic field belong to $W_p^{2,1}(Ω×(0,T))$ and the pressure q satisfies $∇q ∈ L_p(Ω×(0,T))$ for p ≥ 7/3.

Kategorie tematyczne

• 76W05: Magnetohydrodynamics and electrohydrodynamics
• 76D03: Existence, uniqueness, and regularity theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 2
• Strony: 201-208

Daty

wydano

2004

Twórcy

autor

Wisam Alame

• Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland

autor

W. M. Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/am31-2-5